antiderivative of cosine1 [Notes & HW Answers] 6.2 Constructing Antiderivatives Analytically [Prepwork 6.2] Q1. If 𝐹(𝑥) is an antiderivative of 𝑓(𝑥), what is the most general antiderivative? A: The most general antiderivative = F(x) + C Q2. Using the properties of antiderivatives in theorem 6.1 to find ∫(3cos(𝑥)+2sin(𝑥))𝑑𝑥 A: ∫(3cos(𝑥)+2sin(𝑥))𝑑𝑥= 3sin(x) - 2cos(x) + C Q3. Use the Fundamental Theorem to calculate the following integral exactly: A: ∫^(𝜋/3)_0 (2/cos^2𝜃) 𝑑𝜃= 2tan(𝜋/3) - 2t.. 2022. 12. 8. 이전 1 다음
